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Difficulty: Very hardAnalytical Puzzles and Grouping

Five regional directors—Dev, Esha, Farhan, Gita, and Harish—are to be assigned to inspect three infrastructure zones: North, Central, and South. Each director specializes in exactly one domain: Railways, Highways, or Power.

The assignments must satisfy the following conditions:
1. Every zone must be inspected by at least one director, but no zone can be assigned more than two directors.
2. Dev and Harish inspect the same zone, but neither of them inspects the North zone.
3. Esha and Gita inspect different zones, and neither of them is assigned to the South zone.
4. Exactly two directors specialize in Railways, two in Highways, and one in Power.
5. No two directors inspecting the same zone share the same domain expertise.
6. The Power expert is assigned to inspect the South zone.
7. Dev specializes in Railways, while Gita specializes in Highways.

Based on the information above, which of the following statements must be conclusively TRUE?

  1. Harish specializes in Power and is assigned to the South zone.Answer
  2. B
    Esha and Gita are both assigned to inspect the North zone.
  3. C
    Dev and Harish are assigned to inspect the Central zone.
  4. D
    Harish specializes in Highways and is assigned to the North zone.

Answer

Harish specializes in Power and is assigned to the South zone.
Evaluating the capacity bounds forces Dev and Harish into the South zone to avoid exceeding two directors in Central. Since South contains Dev (Railways) and must contain the single Power expert, Harish is conclusively identified as the Power expert in South.

Step-by-Step Solution

1
Determine zone assignments for Dev and Harish.
Dev and Harish are assigned to the South zone.
Condition 2 states Dev and Harish are together and not in North, so they must be in Central or South. Condition 3 places Esha and Gita in different zones among North and Central (neither in South), meaning exactly one of {Esha, Gita} is in Central. If Dev and Harish were in Central, Central would have 3 directors, violating the max 2 limit (Condition 1). Thus, Dev and Harish must be in South.
2
Determine the domain expertise of Harish.
Harish specializes in Power.
South has exactly two directors: Dev and Harish. Condition 6 states the Power expert inspects South. Condition 7 states Dev specializes in Railways. Condition 5 dictates no two directors in the same zone share expertise. Therefore, Harish must be the Power expert in South.

Key Concept

Multi-constraint grouping and deduction with capacity limits
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Topics

Analytical Puzzles and Grouping

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